We look at the division of 566420 by 84 
Our goal is to divide 566420 by 84.

Advancing to step 1:
5 divided by 84 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 84

Moving on to step 2:
84 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Include the next digit (6) from the dividend after 56, then repeat: 566 / 84

On to step 3:
The number 84 fits into 566 6 times, leaving a remainder of 62.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 504 from 566 to get 62.
Fetch the next digit (4) from the dividend, attach it to 62 and continue: 624 / 84

Moving on to step 4:
When dividing 624 by 84, we get 7 with a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Deduct 588 from 624 and we're left with 36.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 84

On to step 5:
The number 84 fits into 362 4 times, leaving a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 674.0
Deduct 336 from 362 and we're left with 26.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 84

On to step 6:
84 goes into 260 3 times with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 6743.0
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 84 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 6743.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
800 divided by 84 is 9 with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 6743.09
If we subtract 756 from 800, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
If we divide 440 by 84, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 6743.095
Subtract 420 from 440 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
If we divide 200 by 84, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 6743.0952
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
When dividing 320 by 84, we get 3 with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 6743.09523
If we take 252 away from 320, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 12:
The number 84 fits into 680 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6743.095238
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 84, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6743.095238
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 14:
If we divide 800 by 84, we get 9 and a remainder of 44.
The next digit of our result is 9. 
Result so far: 6743.09523809
Subtract 756 from 800 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Our division results in 6743.09523809 with a remaining 4.4e-08.